Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 2 - Graphs and Functions - 2.4 Linear Functions - 2.4 Exercises - Page 228: 11

Answer

domain: $(-\infty, +\infty)$ range: $(-\infty, +\infty)$ Refer to the graph below.
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Work Step by Step

Find the x-intercept by setting $f(x)$ or $y$ to zero, then solve for $x$. $f(x) = x-4 \\0=x-4 \\0+4=x-4+4 \\4=x$ The x-intercept is $4, 0)$. Find the y-intercept by setting $x=0$ then solving for $y$. $f(x)=x-4 \\f(x) = 0-4 \\f(x)=-4$ The y-intercept is $(0 -4)$. Plot the intercepts and connect them using a line. The point $(1, -3)$ can be used as a check point. (Refer to the graph in the answer part above.) The graph covers all x-values and all y-values. Thus, the given function has: domain: $(-\infty, +\infty)$ range: $(-\infty, +\infty)$
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